Abelian varieties, homogeneous spaces and duality
Nikolaj Glazunov
TL;DR
This paper explores the properties of Abelian varieties and homogeneous spaces, discussing duality principles and presenting both historical results and new findings in arithmetic algebraic geometry.
Contribution
It introduces new results in arithmetic algebraic geometry related to Abelian varieties and homogeneous spaces, building on Vvedenskii's foundational work.
Findings
Presentation of Vvedenskii's results
New results in arithmetic algebraic geometry
Insights into duality in algebraic geometry
Abstract
The article is dedicated to the memory of O.N. Vvedenskii. Vvedenskii's results are presented as well as selected new results of arithmetic algebraic geometry. Elements of ontology of Vvedenskii's research also given.
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Taxonomy
TopicsPolynomial and algebraic computation · advanced mathematical theories · Advanced Differential Equations and Dynamical Systems